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Nonlinear dynamics on centre manifolds describing turbulent floods: k-$\omega$ model
1. | Department of Mathematics and Computing, University of Southern Queensland, Toowoomba, Queensland 4350, Australia, Australia, Australia |
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Stefano Bianchini, Alberto Bressan. A center manifold technique for tracing viscous waves. Communications on Pure and Applied Analysis, 2002, 1 (2) : 161-190. doi: 10.3934/cpaa.2002.1.161 |
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Camillo De Lellis, Emanuele Spadaro. Center manifold: A case study. Discrete and Continuous Dynamical Systems, 2011, 31 (4) : 1249-1272. doi: 10.3934/dcds.2011.31.1249 |
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Claudia Valls. The Boussinesq system:dynamics on the center manifold. Communications on Pure and Applied Analysis, 2005, 4 (4) : 839-860. doi: 10.3934/cpaa.2005.4.839 |
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Hongyu Cheng, Rafael de la Llave. Time dependent center manifold in PDEs. Discrete and Continuous Dynamical Systems, 2020, 40 (12) : 6709-6745. doi: 10.3934/dcds.2020213 |
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Sergey V. Bolotin, Piero Negrini. Global regularization for the $n$-center problem on a manifold. Discrete and Continuous Dynamical Systems, 2002, 8 (4) : 873-892. doi: 10.3934/dcds.2002.8.873 |
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A. Carati. Center manifold of unstable periodic orbits of helium atom: numerical evidence. Discrete and Continuous Dynamical Systems - B, 2003, 3 (1) : 97-104. doi: 10.3934/dcdsb.2003.3.97 |
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Walter A. Strauss. Vorticity jumps in steady water waves. Discrete and Continuous Dynamical Systems - B, 2012, 17 (4) : 1101-1112. doi: 10.3934/dcdsb.2012.17.1101 |
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Jerry L. Bona, Henrik Kalisch. Models for internal waves in deep water. Discrete and Continuous Dynamical Systems, 2000, 6 (1) : 1-20. doi: 10.3934/dcds.2000.6.1 |
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Vera Mikyoung Hur. On the formation of singularities for surface water waves. Communications on Pure and Applied Analysis, 2012, 11 (4) : 1465-1474. doi: 10.3934/cpaa.2012.11.1465 |
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Jerry L. Bona, Thierry Colin, Colette Guillopé. Propagation of long-crested water waves. Discrete and Continuous Dynamical Systems, 2013, 33 (2) : 599-628. doi: 10.3934/dcds.2013.33.599 |
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Miles H. Wheeler. On stratified water waves with critical layers and Coriolis forces. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4747-4770. doi: 10.3934/dcds.2019193 |
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Jifeng Chu, Joachim Escher. Steady periodic equatorial water waves with vorticity. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4713-4729. doi: 10.3934/dcds.2019191 |
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Mats Ehrnström, Gabriele Villari. Recent progress on particle trajectories in steady water waves. Discrete and Continuous Dynamical Systems - B, 2009, 12 (3) : 539-559. doi: 10.3934/dcdsb.2009.12.539 |
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David M. Ambrose, Jerry L. Bona, David P. Nicholls. Well-posedness of a model for water waves with viscosity. Discrete and Continuous Dynamical Systems - B, 2012, 17 (4) : 1113-1137. doi: 10.3934/dcdsb.2012.17.1113 |
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